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Perturbative calculation of the adiabatic geometric phase and particle in a well with moving walls

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T22:48:49Z
dc.date.issued1999
dc.description.abstractWe use the Rayleigh-Schrodinger perturbation theory to calculate the corrections to the adiabatic geometric phase due to a perturbation of the Hamiltonian. We show that these corrections are at least of second order in the perturbation parameter. As an application of our general results we address the problem of the adiabatic,geometric phase for a one-dimensional particle which is confined to an infinite square well with moving walls.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue47
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume32
dc.identifier.doi10.1088/0305-4470/32/47/311
dc.identifier.issn0305-4470
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-0033607413
dc.identifier.urihttps://doi.org/10.1088/0305-4470/32/47/311
dc.identifier.urihttps://hdl.handle.net/20.500.14288/6399
dc.identifier.wos84105900013
dc.keywordsDependent boundary-conditions
dc.keywordsQuantum canonical-transformations
dc.keywordsSchrodinger-equation
dc.keywordsHarmonic-oscillator
dc.keywordsBerry phase
dc.keywordsApproximation
dc.keywordsModels
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A: Mathematical and General
dc.subjectPhysics, multidisciplinary
dc.subjectPhysics, mathematical
dc.titlePerturbative calculation of the adiabatic geometric phase and particle in a well with moving walls
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorMostafazadeh, Ali
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isParentOrgUnitOfPublicationaf0395b0-7219-4165-a909-7016fa30932d
relation.isParentOrgUnitOfPublication.latestForDiscoveryaf0395b0-7219-4165-a909-7016fa30932d

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